On a class of methods for the computation of the spectral radius and the Perron vector of a nonnegative, irreducible matrix

DOI10.1016/0024-3795(87)90258-8zbMath0623.65049OpenAlexW2056830775MaRDI QIDQ1091762

Maria Célia Santos

Publication date: 1987

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(87)90258-8

zbMATH Keywords

global convergencesplittingsPerron rootPerron vectornonnegative irreducible matrixiteration matricesCollatz-Wielandt minimum and maximum quotientsstrong ergodicity theorem

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15)

Cites Work

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• Reguläre Zerlegung und Berechnung des Spektralradius nichtnegativer Matrizen
• Inverse iteration for calculating the spectral radius of a non-negative irreducible matrix
• Unzerlegbare, nicht negative Matrizen
• Note on the Fundamental Theorem on Irreducible Non-Negative Matrices
• ON MATRICES WITH POSITIVE ELEMENTS